Howtosignalprocessing
What is soft thresholding operator?
The soft-thresholding function finds the minimizer of an objective function that involves data fitting in an ℓ2 sense as well as minimization of the ℓ1 norm (i.e. absolute value).
Why is soft thresholding used?
The soft- thresholding function can be used for denoising by applying it to the transform-domain representation, provided the transform yields a sparse representation of the signal.
What is hard thresholding?
Hard thresholding is the process of setting to zero the coefficients whose absolute values are lower than the threshold λ . Soft thresholding is another method by first setting to zero coefficients whose absolute values are lower than the threshold λ and then shrinking the nonzero coefficients toward zero.
